I have always had this problem with my Glock 19.
In fact, it's there on just about every gun I dry fire. I very much notice it when attempting to shoot fast with a SIRT. The faster I go, the worse the movement of the gun.
I tried different trigger finger placement, using the distal joint (first knuckle), different heights on the trigger itself.
I did notice using the knuckle helps; which is opposite of what I've learned over the years.....so maybe it only applies when speed shooting. I honestly don't know.
However, recently I bought some grip strengtheners and started at the 100lb ones. Brought them to work, hit em 10 per side maybe 10 times a day.
Within a week I was up to 150lbs, but that's a whole other ball game, and these will take a while to get 'past' and up to the 200lbs.
That all being said, when I have issues with my shooting at the range recently, I decided to increase my grip on my support hand, and it REALLY made a difference.
However, I think what I'm really doing is compensating for a deficient trigger press, so I'm actually fighting myself.
Chris Sajnog says a firm enough grip can overcome any lack of trigger discipline. But I had to reinforce bad habits I can get away with from a firmer grip.
The problem is, I can't find another way to fix it.
So until someone shows me different, I'll be increasing my grip strength.